Anderson has a daughter, Piper, with her ex-husband Clyde Klotz. Her pregnancy necessitated the "Scully's abduction" storyline of the X-files' second season, arguably shaping the entire subsequent story arc of the series.

Awards:

1991: Theater World award (for the play Absent Friends).
1996: SAG award for Outstanding Lead Actress in a Drama Series.
1997: SAG award for Outstanding Lead Actress in a Drama Series, Golden Globe award for Best Lead Actress in a Television Series, Emmy award for Outstanding Lead Actress in a Drama Series.
1999: Viewers for Quality Television award for Best Actress.
(and numerous nominations as well)